Jordan wrote 4,500 in scientific notation as 4.5x10^2. is this correct? if not, why not?
Well, Jordan almost got it right, but there's a tiny mistake there. 4,500 in scientific notation should be written as 4.5 x 10^3, not 4.5 x 10^2. The exponent tells us how many times we need to move the decimal point to get the original number, and since 4,500 is equal to 4.5 times 1,000, the exponent should be 3. So close, yet so far!
No, the notation 4.5x10^2 is not the correct scientific notation for 4,500.
Scientific notation is a way of representing very large or very small numbers by expressing them as a product of a number between 1 and 10 (known as the coefficient) and a power of 10.
To write 4,500 in scientific notation, we need to move the decimal point to the left after the first non-zero digit so that the coefficient is between 1 and 10.
In this case, 4,500 can be expressed as 4.5 x 10^3. The decimal point was moved three places to the left to obtain the coefficient 4.5, and the exponent is 3 because the decimal point was moved three places.
Therefore, the correct scientific notation for 4,500 is 4.5 x 10^3, not 4.5 x 10^2.
No, the expression "4.5x10^2" represents the number 450 in scientific notation, not 4,500. Scientific notation is a way to write very large or very small numbers in a compact form by expressing them as a product of a number between 1 and 10, multiplied by a power of 10.
To write 4,500 in scientific notation, you would express it as 4.5 x 10^3. This is because you move the decimal point three places to the left to make it a number between 1 and 10, and then multiply it by 10 raised to the power of 3 to account for the three decimal places you moved.